Question

How do you simplify the square root of 125/80?

Answer 1

`sqrt(125/80) = 5/4`

Explanation:

If `a >= 0` then `sqrt(a^2) = a`

So:

`sqrt(125/80) = sqrt((5xx25)/(5xx16)) = sqrt(25/16) = sqrt(5^2/4^2) = sqrt((5/4)^2) = 5/4`